Multi-Step Equations Review

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you convert yards per hour to inches per hour?

Back

To convert yards per hour to inches per hour, multiply the number of yards by 36 (since 1 yard = 36 inches). For example, 15 yards per hour = 15 * 36 = 540 inches per hour.

Front

What is the solution to the equation 4(1-x) + 3x = -2(x+1)?

Back

x = -6.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are an infinite number of values for the variable that satisfy the equation, often resulting from equivalent expressions on both sides.

Front

How do you solve the equation -5(r - 1) = 5 - 5r?

Back

Distribute -5 to get -5r + 5 = 5 - 5r. Both sides simplify to the same expression, indicating infinitely many solutions.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, which may include distributing, combining like terms, or moving terms from one side to the other.

Front

What is the significance of the equation 25 + 0.05x = 50 + 0.01x in a real-world context?

Back

This equation represents a comparison of costs from two cell phone companies based on usage, allowing us to find the number of minutes where both companies charge the same amount.

Front

How do you convert feet per second to feet per minute?

Back

To convert feet per second to feet per minute, multiply the feet per second by 60 (since there are 60 seconds in a minute). For example, 176 feet per second = 176 * 60 = 10,560 feet per minute.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve for that variable.